Question

Evaluate (using formulae): $\frac{2.43\times 2.43-2\times 2.43\times 1.67+1.67\times 1.67}{2.43-1.67}$

• A. $0.76$
• B. $0.55$
• C. $1$
• D. $1.4$

Answer 1

The correct option is A $0.76$

Given: $\frac{2.43\times 2.43-2\times 2.43\times 1.67+1.67\times 1.67}{2.43-1.67}$
$=\frac{(2.43{)}^2-2\times 2.43\times 1.67+(1.67{)}^2}{0.76}$
$=\frac{(2.43-1.67{)}^2}{0.76}$ [ $\because a^2-2ab+b^2=(a-b{)}^2$]

$=\frac{(0.76{)}^2}{0.76}$

$=0.76$